I could be wrong, but I see the illegal immigration issue as (mostly) a cheap political issue. Sure, there are definitely problems, especially on border states (of which Florida is NOT one). But the typical overly dramatic presentation of the problem is pure political theater. Yes, illegal immigration is an issue. No, it's not an "invasion". Yes, we should come up with better policies for dealing with it. No, we don't need an electrified fence topped with terminator robots mowing down Mexicans.
In other words, just like terrorism before it, this is just another issue to manipulate people into supporting specific politicians and political groups without putting too much thought into it. Why else are the Republicans floating changing the 14th amendment, something they basically have zero chance of doing?